branch for universe

[helm.git] / components / tactics / setoids.mli

diff --git a/components/tactics/setoids.mli b/components/tactics/setoids.mli
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+(************************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
+(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
+(*   \VV/  **************************************************************)
+(*    //   *      This file is distributed under the terms of the       *)
+(*         *       GNU Lesser General Public License Version 2.1        *)
+(************************************************************************)
+
+(*i $Id: setoid_replace.mli 8779 2006-05-02 20:59:21Z letouzey $ i*)
+
+type relation =
+   { rel_a: Cic.term ;
+     rel_aeq: Cic.term;
+     rel_refl: Cic.term option;
+     rel_sym: Cic.term option;
+     rel_trans : Cic.term option;
+     rel_quantifiers_no: int  (* it helps unification *);
+     rel_X_relation_class: Cic.term;
+     rel_Xreflexive_relation_class: Cic.term
+   }
+
+type 'a relation_class =
+   Relation of 'a    (* the [rel_aeq] of the relation or the relation*)
+ | Leibniz of Cic.term option  (* the [carrier] (if [eq] is partially instantiated)*)
+
+type 'a morphism =
+    { args : (bool option * 'a relation_class) list;
+      output : 'a relation_class;
+      lem : Cic.term;
+      morphism_theory : Cic.term
+    }
+
+type morphism_signature = (bool option * Cic.term) list * Cic.term
+
+val register_replace : (Cic.term -> Cic.term -> ProofEngineTypes.tactic) -> unit
+val register_general_rewrite : (bool -> Cic.term -> ProofEngineTypes.tactic) -> unit
+
+val print_setoids : unit -> unit
+
+val equiv_list : unit -> Cic.term list
+val default_relation_for_carrier :
+  ?filter:(relation -> bool) -> Cic.term -> relation relation_class 
+(* [default_morphism] raises [Not_found] *)
+val default_morphism :
+  ?filter:(Cic.term morphism -> bool) -> Cic.term -> relation morphism
+
+val setoid_replace :
+ Cic.term option -> Cic.term -> Cic.term -> new_goals:Cic.term list -> ProofEngineTypes.tactic
+val setoid_replace_in :
+ string -> Cic.term option -> Cic.term -> Cic.term -> new_goals:Cic.term list ->
+  ProofEngineTypes.tactic
+
+val general_s_rewrite : bool -> Cic.term -> new_goals:Cic.term list -> ProofEngineTypes.tactic
+val general_s_rewrite_in :
+ string -> bool -> Cic.term -> new_goals:Cic.term list -> ProofEngineTypes.tactic
+
+val setoid_reflexivity_tac : ProofEngineTypes.tactic
+val setoid_symmetry : ProofEngineTypes.tactic
+val setoid_symmetry_in : string -> ProofEngineTypes.tactic
+val setoid_transitivity : Cic.term -> ProofEngineTypes.tactic
+
+val add_relation :
+ string -> Cic.term -> Cic.term -> Cic.term option ->
+  Cic.term option -> Cic.term option -> unit
+
+val new_named_morphism :
+ string -> Cic.term -> morphism_signature option -> unit
+
+val relation_table_find : Cic.term -> relation
+val relation_table_mem : Cic.term -> bool